Abstract

Angular super-resolution imaging in the forward-looking area of a scanning radar platform plays an important role in the application of scanning radar. However, the angular resolution of scanning radar is limited by the system parameters. Thus, improving the angular resolution of scanning radar beyond the limitation of the given system parameters is desired. We present an angular super-resolution imaging method by solving the associated deconvolution problem. We first formulate an angular super-resolution problem in scanning radar as a deconvolution task and then convert it to a constrained optimization problem by incorporating the prior information of the target in the scene. We then solve the constrained optimization problem in convex optimization framework using an augmented Lagrangian method. In order to solve the constrained optimization problem, a corresponding augmented Lagrangian function is constructed and its saddle point is found using alternating direction method. The advantages of the proposed method for angular super-resolution imaging in scanning radar are that the proposed method can not only realize the angular super-resolution imaging in scanning radar but also has high precision. Simulation and experiment results are given at the end to verify the validity of the proposed method compared with a Wiener filter that is applicable for angular super-resolution in scanning radar.

Highlights

  • Due to advantages over optical sensing tools, such as robust performance under all-time and allweather circumstances, radar plays an important role in such realms as earth observation, oceanic monitoring, and military reconnaissance.[1,2] To realize these applications, two-dimensional high resolution is usually required

  • In order to show the validity of the proposed deconvolution method for angular super-resolution in scanning radar, simulation and experimental results are presented

  • The simulation results are presented to demonstrate the performance of the proposed deconvolution method for angular super-resolution in scanning radar

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Summary

Introduction

Due to advantages over optical sensing tools, such as robust performance under all-time and allweather circumstances, radar plays an important role in such realms as earth observation, oceanic monitoring, and military reconnaissance.[1,2] To realize these applications, two-dimensional high resolution is usually required. We first convert the angular super-resolution imaging task in scanning radar into an equivalent deconvolution problem. The deconvolution technique for dominant scatterers in angular super-resolution imaging can be converted into the corresponding l1 optimization problem. Applications of l1-norm minimization can be found in Ref. 14 for ISAR imaging,[15] for feature enhanced, and for through-wall radar image.[16] In this paper, we are focused on solving the deconvolution problem, which corresponds to the task of angular super-resolution imaging in the forward-looking area of radar platform. The rest of this paper is organized as follows: Sec. 2 presents the signal model for scanning radar and converts the angular super-resolution problem into an equivalent deconvolution problem.

Signal Model for Scanning Radar in Azimuth
Augmented Lagrangian Solver for Angular Super-Resolution Imaging
Deconvolution Problem and Constrained Optimization Problem
General Framework of Augmented Lagrangian Method
Applying Augmented Lagrangian Method to Deconvolution Problem
Simulations
Experimental Results
Conclusion
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